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Finding the Fourth Proportional to 573.64, 859.92 and 208.33

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Solution

The fourth proportional to 573.64, 859.92 and 208.33 is: 312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.64 : 859.92 = 208.33 : x
  2. Step 2: Convert to fraction form
    573.64/859.92 = 208.33/x
  3. Step 3: Cross multiply
    573.64x = 859.92 × 208.33
  4. Step 4: Simplify right side
    573.64x = 179,142.83
  5. Step 5: Solve for x
    x = 179,142.83/573.64
  6. Step 6: Final answer
    x = 312.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.